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Consider the function f(x) = |x – 1| + x² where x ∈ R.

Which one of the following statements is correct?

Mathematics 2016 NDA Mathematics 2016 NDA 2016

Options

f(x) has local minima at more than one point in (-∞, ∞)

f(x) has local maxima at more than one point in (-∞, ∞)

f(x) has local minimum at one point only in (-∞, ∞)

f(x) has neither maxima nor minima in (-∞, ∞)